The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  2  1  1  1  1  1  1  2  X
 0 2X+2  0 2X+2  0 2X+2  0 2X+2 2X+2  0  2 2X  0 2X+2 2X  2  0 2X+2 2X+2  0 2X  2 2X  2  0 2X  0 2X 2X+2 2X+2 2X+2 2X+2  0 2X+2  0 2X  2 2X  2  2 2X+2 2X  0 2X 2X 2X+2
 0  0 2X  0  0  0 2X  0 2X  0 2X 2X  0 2X 2X 2X  0  0 2X 2X 2X  0  0 2X  0 2X 2X  0  0 2X  0 2X  0 2X 2X 2X  0  0  0  0 2X 2X 2X 2X  0  0
 0  0  0 2X  0  0  0  0  0  0  0  0 2X 2X 2X  0  0 2X 2X 2X  0 2X 2X 2X 2X 2X 2X 2X  0  0 2X 2X 2X 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X
 0  0  0  0 2X  0 2X 2X 2X  0  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X 2X  0 2X  0 2X 2X  0  0 2X 2X 2X  0 2X  0  0 2X  0 2X 2X 2X 2X  0
 0  0  0  0  0 2X  0 2X 2X 2X 2X 2X 2X  0 2X  0 2X  0 2X 2X 2X 2X 2X  0  0  0  0  0  0  0 2X 2X 2X  0  0  0  0 2X  0  0  0 2X 2X  0 2X  0

generates a code of length 46 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+50x^42+16x^43+94x^44+48x^45+626x^46+48x^47+83x^48+16x^49+22x^50+9x^52+6x^54+4x^56+1x^84

The gray image is a code over GF(2) with n=368, k=10 and d=168.
This code was found by Heurico 1.16 in 24.3 seconds.